In a minimal model of Weyl semimetal, Weyl nodes must be separated in momentum space by a vector \(\mathbf {b}\)  to ensure topological protection. Alternatively, the vector \(\mathbf {b}\)  can also be interpreted as an axial gauge field since it couples with an opposite sign to Weyl nodes of opposite chirality [1]}, [2]}, [3]}, [4]}, [5]}. Thus spatial variation of \(\mathbf {b}\)  generates an axial magnetic field \(\mathbf {B}_5=\nabla \times \mathbf {b}\) , which also couples oppositely to Weyl nodes of opposite chirality. An effective \(\mathbf {B}_5\)  field can emerge from an inhomogeneous strain profile in Weyl semimetals. In the presence of an effective chiral gauge field \(\mathbf {B}_5\) , the effective magnetic field experienced by Weyl fermions at a given node of chirality \(\chi \)  is \(\mathbf {B}\longrightarrow \mathbf {B}+\chi \mathbf {B}_5\) , where \(\mathbf {B}\)  is the external magnetic field. Therefore, the conservation laws are also modified accordingly in the presence of the \(\mathbf {B}_5\)  field. Recent works have pointed out that even in the absence of an external magnetic field, the chiral gauge field influences the diffusive electron transport in Weyl semimetals by modifying its longitudinal magnetoconductance (LMC) [6]} as well as the planar Hall conductance (PHC) [7]}. Although true in spirit, the drawback of these works is that they ignore the momentum dependence of scattering when the Weyl fermions scatter within a node (known as intranode scattering or intravalley scattering) conserving both the total charge and chiral charge, and also when they scatter to the other node (internode/intervalley scattering), in which case they conserve only the total charge. Moreover, intervalley scattering, which is the essence of `true chiral anomaly', has been neglected in Ref. [7]}. In a recent work [9]}, some of the co-authors of this work have pointed out that momentum dependence of scattering as well as charge conservation constraint can lead to drastic differences in the qualitative conclusions. It is therefore of immense importance to correctly treat the effect of strain induced gauge field on electron transport in Weyl semimetals, which is the focus of this work.
